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arXiv 2112.04571cs.LGmath.OCmath.STstat.MLstat.TH
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模糊动态治疗方案:一种强化学习方法

Ambiguous Dynamic Treatment Regimes: A Reinforcement Learning Approach

Harvard Kennedy School, Harvard University(哈佛大学肯尼迪学院,哈佛大学);Mayo Clinic(梅奥诊所)

Soroush Saghafian

AI总结:

针对未观测时变混杂导致的因果模型模糊问题,提出ADTRs并结合APOMDPs与强化学习学习最优治疗方案,给出一致性和渐近正态性理论,并通过NODAT案例与仿真验证。

摘要:

各类研究中的一个主要目标是利用观测数据集,提供一套能够带来因果改进的新反事实指南。动态治疗方案(Dynamic Treatment Regimes,DTRs)被广泛用于将这一过程形式化。然而,寻找最优DTRs的现有方法往往依赖于在现实应用(例如医疗决策或公共政策)中会被违反的假设,尤其是当(a)未观测混杂因素的存在不可忽视,以及(b)未观测混杂因素随时间变化(例如受到先前行动影响)时。当此类假设被违反时,人们通常会面临关于潜在因果模型的模糊性。这种模糊性是不可避免的,因为无法从观测数据中理解未观测混杂因素的动态及其对数据观测部分的因果影响。受一项案例研究的启发,即为合作医院中接受移植并出现移植后新发糖尿病(New Onset Diabetes After Transplantation,NODAT)这一医学状况的患者寻找更优治疗方案,我们将DTRs扩展为一类称为模糊动态治疗方案(Ambiguous Dynamic Treatment Regimes,ADTRs)的新类别,其中治疗方案的因果影响基于因果模型的“云”进行评估。随后,我们将ADTRs与模糊部分可观测Mark决策过程(Ambiguous Partially Observable Mark Decision Processes,APOMDPs)联系起来,并开发强化学习方法,从而能够利用观测数据高效学习最优治疗方案。我们建立了这些学习方法的理论结果,包括(弱)一致性和渐近正态性。我们还在案例研究和仿真实验中进一步评估了这些学习方法的性能。

英文摘要:

A main research goal in various studies is to use an observational data set and provide a new set of counterfactual guidelines that can yield causal improvements. Dynamic Treatment Regimes (DTRs) are widely studied to formalize this process. However, available methods in finding optimal DTRs often rely on assumptions that are violated in real-world applications (e.g., medical decision-making or public policy), especially when (a) the existence of unobserved confounders cannot be ignored, and (b) the unobserved confounders are time-varying (e.g., affected by previous actions). When such assumptions are violated, one often faces ambiguity regarding the underlying causal model. This ambiguity is inevitable, since the dynamics of unobserved confounders and their causal impact on the observed part of the data cannot be understood from the observed data. Motivated by a case study of finding superior treatment regimes for patients who underwent transplantation in our partner hospital and faced a medical condition known as New Onset Diabetes After Transplantation (NODAT), we extend DTRs to a new class termed Ambiguous Dynamic Treatment Regimes (ADTRs), in which the causal impact of treatment regimes is evaluated based on a "cloud" of causal models. We then connect ADTRs to Ambiguous Partially Observable Mark Decision Processes (APOMDPs) and develop Reinforcement Learning methods, which enable using the observed data to efficiently learn an optimal treatment regime. We establish theoretical results for these learning methods, including (weak) consistency and asymptotic normality. We further evaluate the performance of these learning methods both in our case study and in simulation experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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